Macdonald–Stanley conjecture on Jack polynomial coefficients

Let $\lambda$ and $\mu$ be partitions, and let $m_i(\mu)$ denote the multiplicity of the part $i$ in $\mu$. Define

$$\widetilde v_{\lambda \mu}(\alpha)=\frac{v_{\lambda\mu}(\alpha)}{\prod_{i\geq 1}m_i(\mu)!},$$

where $v_{\lambda\mu}(\alpha)$ are the coefficients defined in equation (4). Macdonald–Stanley conjecture. The quantities $\widetilde v_{\lambda\mu}(\alpha)$ are polynomials in $\alpha$ with nonnegative integer coefficients. This conjecture concerns the positivity and integrality of the coefficients occurring in the expansion of Jack polynomials; the supplied source does not indicate whether it has been resolved.